| Exam Board | OCR |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2015 |
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| Session | June |
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| Topic | Integration using inverse trig and hyperbolic functions |
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3 By first completing the square, find the exact value of \(\int _ { \frac { 1 } { 2 } } ^ { 1 } \frac { 1 } { \sqrt { 2 x - x ^ { 2 } } } \mathrm {~d} x\).